Skip to main content

Reconstruct Underground Infrastructure Networks Based on Uncertain Information

  • Conference paper
  • First Online:
Book cover Innovations for Community Services (I4CS 2016)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 648))

Included in the following conference series:

  • 278 Accesses

Abstract

This paper focuses on developing methods to reconstruct the physical path of underground infrastructure networks. These reconstructions are based on the structure of the network, start and endpoints and the structure of an underlying network. This data is partly considered unreliable or uncertain. Two methods are presented to realise the reconstruction. The first method finds a path of given length in a directed graph by applying a modified version of Yen’s algorithm for finding K-shortest simple paths in a directed graph. A second, so-called Bottom-up approach is developed which aims to take advantage of the structure of the underlying network. The developed methods are applied on a series of examples for comparison.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Aljazzar, H., Leue, S.: K\(^*\): a heuristic search algorithm for finding the \(k\) shortest paths. Artif. Intell. 175, 2129–2154 (2011). Elsevier

    Article  MathSciNet  MATH  Google Scholar 

  2. Bellman, R., Kalaba, R.: On kth best policies. J. Soc. Ind. Appl. Math. 8(4), 582–588 (1960)

    Article  MathSciNet  MATH  Google Scholar 

  3. Eppstein, D.: Finding the k shortest paths. In: 1994 Proceedings of 35th Annual Symposium on Foundations of Computer Science, pp. 154–165. IEEE (1994)

    Google Scholar 

  4. Hart, P.E., Nilsson, N.J., Raphael, B.: A formal basis for the heuristic determination of minimum cost paths. IEEE Trans. Syst. Sci. Cybern. 4(2), 100–107 (1968)

    Article  Google Scholar 

  5. Hershberger, J., Maxel, M., Suri, S.: Finding the k shortest simple paths: a new algorithm and its implementation. ACM Trans. Algorithms (TALG) 3(4), 45 (2007)

    Article  MathSciNet  Google Scholar 

  6. Hershberger, J., Suri, S.: Vickrey prices and shortest paths: what is an edge worth? In: Proceedings of 42nd IEEE Symposium on Foundations of Computer Science, pp. 252–259. IEEE (2001)

    Google Scholar 

  7. Hoffman, W., Pavley, R.: A method for the solution of the nth best path problem. J. ACM (JACM) 6(4), 506–514 (1959)

    Article  MathSciNet  MATH  Google Scholar 

  8. Jiménez, V.M., Marzal, A.: Computing the K shortest paths: a new algorithm and an experimental comparison. In: Vitter, J.S., Zaroliagis, C.D. (eds.) WAE 1999. LNCS, vol. 1668, pp. 15–29. Springer, Heidelberg (1999). doi:10.1007/3-540-48318-7_4

    Chapter  Google Scholar 

  9. Jiménez, V.M., Marzal, A.: A lazy version of Eppstein’s K shortest paths algorithm. In: Jansen, K., Margraf, M., Mastrolilli, M., Rolim, J.D.P. (eds.) WEA 2003. LNCS, vol. 2647, pp. 179–191. Springer, Heidelberg (2003). doi:10.1007/3-540-44867-5_14

    Chapter  Google Scholar 

  10. Neumann, N., Phillipson, F.: Connecting points to a set of line segments in infrastructure design problems. In: 21st European Conference on Networks and Optical Communications (NOC 2016), Lisbon, Portugal (2016)

    Google Scholar 

  11. Nykänen, M., Ukkonen, E.: The exact path length problem. J. Algorithms 42(1), 41–53 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  12. Phillipson, F.: Efficient algorithms for infrastructure networks: planning issues and economic impact. Ph.D. thesis, VU Amsterdam (2014)

    Google Scholar 

  13. Yen, J.Y.: Finding the k shortest loopless paths in a network. Manag. Sci. 17(11), 712–716 (1971)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgments

The authors like to thank Niels Neumann for his helpful comments and discussion.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Frank Phillipson .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing AG

About this paper

Cite this paper

de Koning, M., Phillipson, F. (2016). Reconstruct Underground Infrastructure Networks Based on Uncertain Information. In: Fahrnberger, G., Eichler, G., Erfurth, C. (eds) Innovations for Community Services. I4CS 2016. Communications in Computer and Information Science, vol 648. Springer, Cham. https://doi.org/10.1007/978-3-319-49466-1_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-49466-1_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-49465-4

  • Online ISBN: 978-3-319-49466-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics